130463466946560 has 2560 divisors, whose sum is σ = 533194873896960. Its totient is φ = 30232490803200.

The previous prime is 130463466946499. The next prime is 130463466946583. The reversal of 130463466946560 is 65649664364031.

130463466946560 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 6 + 3 + 4 + 6 + 69 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 574728929167 + ... + 574728929393.

It is an arithmetic number, because the mean of its divisors is an integer number (208279247616).

Almost surely, 2^{130463466946560} is an apocalyptic number.

130463466946560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130463466946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266597436948480).

130463466946560 is an abundant number, since it is smaller than the sum of its proper divisors (402731406950400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130463466946560 is a wasteful number, since it uses less digits than its factorization.

130463466946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 63.

The spelling of 130463466946560 in words is "one hundred thirty trillion, four hundred sixty-three billion, four hundred sixty-six million, nine hundred forty-six thousand, five hundred sixty".